2 papers
math.GR2026
Brauer-Fowler Bounds for Elements of Odd Prime Order
Alessandro Dioguardi Burgio, Kıvanç Ersoy, Edoardo Salati
The Brauer--Fowler theorem bounds the order of a finite simple group in terms of the order of the centralizer of an involution. Hartley proved an automorphism version, bounding the…
math.CT2026
Weak action representability of 2-nilpotent groups
Alessandro Dioguardi Burgio, Manuel Mancini, Tim Van der Linden
In this article, we investigate the representability of actions of the category of -nilpotent groups. We first provide an algebraic characterisati…